9.设向量组α1,α 2,α3与向量组β1 β2,β3有如下关系:-|||-(beta )_(1)=(alpha )_(2)+(alpha )_(3) (beta )_(2)=(alpha )_(1)+(alpha )_(3) (beta )_(3)=(alpha )_(1)+(alpha )_(2),-|||-证明:向量组α1,α2 α3与向量组β1,β 2,β3等价.

设向量组 alpha_1, alpha_2, alpha_3线性无关，判断向量组 beta_1 = alpha_1 + alpha_2、beta_2 =

8.若向量组α1,α2,α3线性无关, (beta )_(1)=(alpha )_(1)-(alpha )_(2), (beta )_(2)=(alpha )_

4.设向量组beta_(1)=alpha_(1)+2alpha_(2)-alpha_(3),beta_(2)=alpha_(1)+2alpha_(2)+2alp

设 alpha (alpha )_(1),(alpha )_(2),(alpha )_(3),(beta )_(1),(beta )_(2) 均为四维列向量矩阵

设向量组(alpha )_(1),(alpha )_(2),(alpha )_(3) 线性无关， (alpha )_(1),(alpha )_(2),(alph

4.(判断题) 向量组满足 beta_(1)=alpha_(1), beta_(2)=alpha_(1)+alpha_(2), beta_(3)=alpha_(

若向量组(alpha )_(1),(alpha )_(2),(alpha )_(3)线性无关，则向量组(alpha )_(1),(alpha )_(2),(al

7.设alpha_(1),alpha_(2),alpha_(3),beta_(1),beta_(2)均为4维列向量，矩阵A=(alpha_(1),alpha_(

向量 alpha = ((1)/(2) ), beta = ((3)/(2) ), 向量 gamma 满足 2gamma + alpha = 3beta, 那么

设矩阵 =((alpha )_(1),(alpha )_(2),(alpha )_(3),(beta )_(1))，=((alpha )_(1),(alpha